Number Theory

   

Fermat and Mersenne Prime Criteria for the Infinity or the Strong Finiteness of Primes of the Form 2^x±1

Authors: Pingyuan Zhou

Abstract: This paper presents that Fermat primes and Mersenne primes can separately become criteria for the infinity or the strong finiteness of primes of the form 2^x±1, which includes Fermat prime criteria for the set of Mersenne primes and its two subsets as well as Mersenne prime criteria for the set of Fermat primes and its two subsets.

Comments: 29 Pages. Author pesents a mathematical partten in which Fermat and Mersenne primes can become criteria for the infinity or the strong finiteness each other.

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Submission history

[v1] 2014-09-24 04:26:27

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